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Flooved is an online education platform founded in 2011, that seeks to provide free education to a global audience by providing lecture notes, handouts, and study guides online, beginning with undergraduate mathematics and physics content.

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texts 1,515

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TOPIC
Maths 1,099
Mathematics 966
Physics 403
Differential Equations (ODEs & PDEs) 220
Linear Algebra and Geometry 171
Analysis and Calculus 133
Quantum Physics 116
Algebra 109
Statistics and Probability 102
Classical Mechanics 89
Particle Physics and Fields 84
General Theory of Fields and Particles 79
Electromagnetism and Electromagnetic Radiation 63
Partial Differential Equations (PDEs) 63
Geometry 59
Acoustics, Optics and Waves 58
Classical Electromagnetism� 54
Number Theory 52
Geometry of Manifolds 51
Fluid Dynamics 49
General Theory in Fluid Dynamics 49
Quantum Mechanics 46
Field Theory 43
Optics� 43
Methods 39
Quantum Field Theory 38
Statistics 37
Analysis 36
Probability 36
Algebraic Geometry 34
Calculus 33
Classical Mechanics of Discrete Systems 32
Integration 32
Logic, Numbers and Set Theory 30
Optimization 30
Optimization and Control 30
Dynamics and Relativity 29
Condensed Matter 28
Special Relativity, General Relativity and Gravitation 28
Strings and Branes 28
Fluid Mechanics� 27
Topology and Metric Spaces 27
Complex Analysis 26
Fourier Analysis 26
Quantum Optics� 25
Differential Geometry 24
Ordinary Differential Equations (ODEs) 24
Functional Analysis 23
Waves 23
Fluid Mechanics 22
Fundamental Concepts 20
Gravitational Waves 20
Wave Optics 20
Electrostatics 19
Dynamical Systems 18
Electrodynamics 17
Numerical Analysis 17
Classical General Relativity 16
Linear Algebra 16
Relativity and Gravitation� 15
Combinatorics 14
Mathematical Methods in Physics 14
Polarization 14
D Branes 13
Groups 13
Field Theories in Dimensions Other Than Four 12
Statistical Physics and Thermodynamics 12
Vectors and Matrices 12
Wavefunctions and Wavefunction Collapse 12
Elementary Number Theory 11
Gauge Field Theories 11
Graph Theory 11
Introduction to Number Theory 11
Maxwell's Equations 11
Nonlinear Optics 11
Statics 11
Calculus and Analysis 9
Electromagnetic Waves 9
Forces 9
General Theory of Classical Mechanics of Discrete Systems 9
The Wave Equation 9
Connectivity and Matchings 8
Higher-Order Linear Differential Equations 8
Representation Theory 8
First-order and Linear ODE 7
Laplace's Equation 7
Matrices 7
Measure Theory 7
Structural, Mechanical, and Thermal Properties 7
Wave Propagation and Interactions 7
Astronomy and Astrophysics� 6
Classical Electromagnetism 6
Coding and Cryptography 6
Electricity 6
Error 6
Gauge Bosons 6
Gauge Theory 6
Interference 6
Magnetostatics 6
Permutations 6
Physics of Gases, Plasmas, and Electric Discharges 6
Properties of Specific Particles 6
Real Numbers 6
Second Order ODE 6
Semiclassical Theories and Applications 6
Set Theory 6
Specific Theories and Interaction Models 6
Stochastic Analysis 6
Study Guides, Study Skills and Assignment Guidelines 6
Superposition 6
Basics 5
Chinese Remainder theorem 5
Definitions and Theorems 5
Electric Field 5
Estimation Techniques 5
Examples of Groups 5
Fundamental Equations 5
Fundamentals of Classical Statistical Mechanics 5
Gauss's Law 5
Gravitons 5
Heat Transfer 5
Integration Theorems 5
Introduction to Number Systems and Logic 5
Linear Programming 5
Linear System of ODEs 5
Magnetic Field 5
Stochastic Processes 5
Symmetry and Conservation Laws 5
Thermodynamics 5
Classical Gases 4
Codes 4
Congruences 4
Contour Integration and Cauchy�s Theorem 4
Countability and Uncountability 4
Dirac Equation 4
Dynamics and Kinematics of Rigid Bodies 4
Eigenvalues and Eigenvectors 4
Group Actions 4
Homogeneous Equations 4
Hydrogen Atom 4
Hypothesis testing 4
Interference and Coherence 4
Learning Latex 4
Linear Algebraic Systems 4
Maximum Principle 4
Minimal Surfaces 4
PDEs with Boundary Values Problems 4
Posets and Zorn�s Lemma 4
Reference Frames 4
Refraction 4
Torque 4
Vectors 4
Work, Energy and Power 4
Angular Momentum 3
Arc-Length, Curvature, Torsion 3
BCH Codes 3
Bayesian Statistics 3
Bipartite Graphs 3
Cauchy Sequences 3
Chaos 3
Chinese Remainder Theorem 3
Compact Spaces 3
Conductor 3
Conjugacy Classes 3
Cosmology� 3
Div, Grad and Curl 3
Dynamics and Kinematics of a Particle and a System of Particles 3
Electromagnetic Wave Propagation 3
Entropy 3
Entropy, Temperature and Pressure 3
Euclid�s Algorithm 3
Gauss's Divergence Theorem and Stokes' Theorem 3
General Number Theory 3
Geometrical Optics 3
Geometry and Groups 3
Graph Colouring 3
Group Theory 3
Inequalities and Limits Theorems 3
Inverse Function Theorem 3
Lagrange and Fermat-Euler�s Theorems 3
Logic, Set Theory, and Algebra 3
Lorentz Force 3
Matchings in Bipartite Graphs 3
Maximum Likelihood Estimation 3
Modular Arithmetic (Congruences) 3
Nonlinear ODE 3
Normal Subgroups 3
Nuclear, Atomic and Molecular Physics 3
Phase Transitions 3
Physics of Plasmas and Electric Discharges 3
Plasma Properties� 3
Poisson's Equation 3
Power Set 3
Poynting Vector 3
Prime Numbers 3
Projective Spaces and Varieties and Homogenous Coordinates 3
Properties of Random Variables 3
Propositional Logic 3
Quantum Gases 3
Quotient Groups 3
LANGUAGE
english 1,515
SHOW DETAILS
Flooved
by David Lippman;Jeff Eldridge;Mike Kenyon;Lawrence Morales;Melonie Rasmussen
2,832
0
0
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3501
Flooved
by Barbara Illowsky;Susan Dean
750
1
0
The textbook was developed over several years and has been used in regular and honors-level classroom settings and in distance learning classes. This textbook is intended for introductory statistics courses being taken by students at two� and four�year colleges who are majoring in fields other than math or engineering. Intermediate algebra is the only prerequisite. The book focuses on applications of statistical knowledge rather than the theory behind it.
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3483
In our text, mathematical modeling and difference and differential equations lead, closely follow, and extend the elements of calculus. Chapter one introduces mathematical modeling in which students write descriptions of some observed processes and from these descriptions derive first order linear difference equations whose solutions can be compared with the observed data. In chapters in which the derivatives of algebraic, exponential, or trigonometric functions are defined, biologically...
Topics: Calculus, Mathematics
Source: http://www.flooved.com/reader/3551
Flooved
by Prof. David Guichard
685
0
0
The emphasis in this course is on problems�doing calculations and story problems. To master problem solving one needs a tremendous amount of practice doing problems.
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3506
Flooved
by Matt Boelkins
656
0
0
Topics: Calculus, Mathematics
Source: http://www.flooved.com/reader/3547
Flooved
by William F. Trench
653
0
0
Elementary Differential Equations with Boundary Value Problems is written for students in science, engineering, and mathematics who have completed calculus through partial differentiation. In writing this book I have been guided by the these principles: 1. An elementary text should be written so the student can read it with comprehension without too much pain. I have tried to put myself in the student�s place, and have chosen to err on the side of too much detail rather than not enough. 2. An...
Topics: Maths, Differential Equations (ODEs & PDEs)|, Ordinary Differential Equations (ODEs), Linear...
Source: http://www.flooved.com/reader/3456
Flooved
by Prof. Peter J. Cameron
559
0
0
This course introduces the basic notions of probability theory and develops them to the stage where one can begin to use probabilistic ideas in statistical inference and modelling, and the study of stochastic processes. Probability axioms. Conditional probability and independence. Discrete random variables and their distributions. Continuous distributions. Joint distributions. Independence. Expectations. Mean, variance, covariance, correlation. Limiting distributions
Topic: Mathematics
Source: http://www.flooved.com/reader/3509
Flooved
by David H. Collingwood;K. David Prince;Matthew M. Conroy
511
0
0
This book is full of worked out examples. We use the the notation �Soluttion.� to indicate where the reasoning for a problem begins; the symbol is used to indicate the end of the solution to a problem. There is a Table of Contents that is useful in helping you �nd a topic treated earlier in the course. It is also a good rough outline when it comes time to study for the �nal examination. The book also includes an index at the end. Finally, there is an appendix at the end of the text with...
Topic: Mathematics
Source: http://www.flooved.com/reader/3446
Flooved
by Prof. Carl Stitz;Prof. Jeff Zeager
480
0
0
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3486
Flooved
by Prof. Peter J. Cameron
470
0
0
Topic: Mathematics
Source: http://www.flooved.com/reader/3518
The laws of physics are generally written down as differential equations. Therefore, all of science and engineering use differential equations to some degree. Understanding differential equations is essential to understanding almost anything you will study in your science and engineering classes. You can think of mathematics as the language of science, and differential equations are one of the most important parts of this language as far as science and engineering are concerned.
Topic: Maths
Source: http://www.flooved.com/reader/3442
Flooved
by Edward A. Bender;S. Gill Williamson
441
0
0
Parts I and II deal with two fundamental aspects of combinatorics: enumeration and graph theory. �Enumeration� can mean either counting or listing things. Mathematicians have generally limited their attention to counting, but listing plays an important role in computer science, so we discuss both aspects. After introducing the basic concepts of �graph theory� in Part II, we present a variety of applications of interest in computer science and mathematics. Induction and recursion play a...
Topics: Combinatorics, Mathematics
Source: http://www.flooved.com/reader/3540
Flooved
by David Joyner;Minh Van Nguyen;Dr Nathann Cohen
399
0
0
This is an introductory book on algorithmic graph theory. Theory and algorithms are illustrated using the Sage open source mathematics software. To get an overview of the book, you can view the table of contents as shown below or download the complete book. This book is more commonly known as the "DaMN" book if you notice the first letter of the first name of each author. So feel free to call it the DaMN book :-)
Topics: Maths, Graph Theory, Statistics and Probability, Basics, Connectivity and Matchings, Probabilistic...
Source: http://www.flooved.com/reader/3435
Flooved
by Prof. Jim Hefferon
384
0
0
on functions involving a single independent variable and a single dependent variable. For
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3490
Flooved
by Prof. Michael Corral
373
0
0
This book covers calculus in two and three variables. It is suitable for a one-semester course, normally known as �Vector Calculus�, �Multivariable Calculus�, or simply �Calculus III�. The prerequisites are the standard courses in single-variable calculus (a.k.a. Calculus I and II).
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3505
Flooved
by Prof. Michael Corral
349
0
0
This book covers elementary trigonometry. It is suitable for a one-semester course at the college level, though it could also be used in high schools
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3504
Volume II is suitable for students who have studied calculus and are interested in difference and differential equation models in the life sciences. Volume II consists of Chapter 1 from Volume I, Chapter D - the differential equations that appear in Chapters 3 - 10 of Volume I, and five additional chapters on difference and differential equations.
Topics: Ordinary Differential Equations (ODEs), Mathematics
Source: http://www.flooved.com/reader/3553
Flooved
by William F. Trench
263
0
0
The book is designed to �ll the gaps left in the development of calculus as it is usually presented in an elementary course, and to provide the background required for insight into more advanced courses in pure and applied mathematics.
Topics: Real Numbers, Analysis, Mathematics
Source: http://www.flooved.com/reader/3549
Flooved
by Prof. Charles Grinstead;Prof. Laurie Snell
258
0
0
This text is designed for an introductory probability course taken by sophomores, juniors, and seniors in mathematics, the physical and social sciences, engineering, and computer science. It presents a thorough treatment of probability ideas and techniques necessary for a �rm understanding of the subject. The text can be used in a variety of course lengths, levels, and areas of emphasis
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3489
Flooved
by Dr Thomas W. Judson
252
0
0
The first half of the book presents group theory, through the Sylow theorems, with enough material for a semester-long course. The second-half is suitable for a second semester and presents rings, integral domains, Boolean algebras, vector spaces, and fields, concluding with Galois Theory
Topics: Group Theory, Permutations, Cosets, Mathematics
Source: http://www.flooved.com/reader/3494
This book is a one semester course in basic analysis. It should be possible to use the book for both a basic course for students who do not necessarily wish to go to graduate school, but also as a more advanced one-semester course that also covers topics such as metric spaces.
Topic: Maths
Source: http://www.flooved.com/reader/3443
Flooved
by David Joyner;Dale Hoffman;William Stein
189
0
0
Who cares about calculus? Well, calculus is used in virtually every branch of science where a problem can be mathematically modeled and an optimal solution is desired. In applications, quite often you �know� or strongly suspect something based on your understanding of the general principles in that �eld. Calculus allows you to quantify your expectations.
Topic: Maths
Source: http://www.flooved.com/reader/3439
This book begins with four special families of matrices�simple and useful, absolutely basic. We look �rst at the properties of these particular matrices Kn,Cn, Tn,and Bn. (Some properties are obvious, others are hidden.) It is terri�c to practice linear algebra by working with genuinely important matrices.
Topics: Maths, Linear Algebra and Geometry, Numerical Analysis, Linear Algebra, Linear Algebraic Systems,...
Source: http://www.flooved.com/reader/1323
Flooved
by Benjamin McKay
182
0
0
These notes are drawn from lectures given at University College Cork in the spring of 2006, for a �rst year introduction to linear algebra. The course aims for a complete proof of the spectral theorem. Problems appear throughout the text, which you must learn to solve. They often provide vital results used in the course. Most of these problems have hints, particularly the more important ones. There are also review problems at the end of each section, and you should try to solve a few from...
Topics: Maths, Linear Algebra and Geometry, Algebra, Numerical Analysis, Vectors and Matrices, Linear...
Source: http://www.flooved.com/reader/3376
Flooved
by Prof. Carl Stitz;Prof. Jeff Zeager
181
0
0
Topics: Algebra, Mathematics
Source: http://www.flooved.com/reader/3475
Flooved
by Prof. Al Doerr;Prof. Kenneth Levasseur
180
0
0
In writing this book, care was taken to use language and examples that gradually wean students from a simpleminded mechanical approach and move them toward mathematical maturity. We also recognize that many students who hesitate to ask for help from an instructor need a readable text, and we have tried to anticipate the questions that go unasked. The wide range of examples in the text are meant to augment the "favorite examples" that most instructors have for teaching the topics in...
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3507
Flooved
177
1
0
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3361
Flooved
by Edwin Clark
177
0
0
This book is intended for a one semester introduction to absract algebra. Instead of spending a lot of time going over background material, we go directly into the primary subject matter. We discuss proof methods and necessary background as the need arises.
Topics: Maths, Algebra, Groups, Groups, Lagrange and Fermat-Euler�s Theorems, Isomorphism Theorems,...
Source: http://www.flooved.com/reader/3356
Flooved
by Catherine Wilkins
173
0
0
The course will be in two parts: Part I in Michaelmas Term Weeks 3-8 and Hilary Term Weeks 1-2, and Part II in Hilary Term Weeks 3-8. For Part I you will be allocated a computer to yourself during scheduled sessions in the Statistics Department, and you may work collaboratively with others in these sessions. None of the work in Part I will be assessed, but instead will act as a foundation enabling you to work individually during Part II. This individual work will be assessed and will count...
Topics: Maths, Algebra, Numerical Analysis, Study Guides, Study Skills and Assignment Guidelines, Number...
Source: http://www.flooved.com/reader/1477
Flooved
by Prof. Kiran S. Kedlaya
167
0
0
Aside from this introduction, the book is divided into four parts. The �rst part, �Rudiments�, is devoted to the foundations of Euclidean geometry and to some of the most pervasive ideas within the subject. The second part, �Special situations�, treats some common environments of classical synthetic geometry; it is here where one encounters many of the challenging Olympiad problems which helped inspire this book. The third part, �The roads to modern geometry�, consists of two 4...
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3488
Topics: Physics, Physics
Source: http://www.flooved.com/reader/2676
Flooved
by Prof. John Erdman
161
0
0
The current set of notes is an activity-oriented companion to the study of real analysis. It is intended as a pedagogical companion for the beginner, an introduction to some of the main ideas in real analysis, a compendium of problems I think are useful in learning the subject, and an annotated reading/reference list
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3485
Flooved
by Reinhard Diestel
158
1
0
This is the electronic �professional edition� of the Springer book "Graph Theory", from their series Graduate Texts in Mathematics, vol. 173.... this book o_ers an introduction to the theory of graphs as part of (pure) mathematics; it contains neither explicit algorithms nor �real world� applications. My hope is that the potential for depth gained by this restriction in scope will serve students of computer science as much as their peers in mathematics...
Topics: Maths, Graph Theory, Basics, Connectivity and Matchings, Extremal Graph Theory, Eigenvalue Methods,...
Source: http://www.flooved.com/reader/3447
Flooved
157
0
0
What is classical mechanics? Classical mechanics is the study of the motion of bodies (including the special case in which bodies remain at rest) in accordance with the general principles �rst enunciated by Sir Isaac Newton in his Philosophiae Naturalis Principia Mathematica (1687), commonly known as the Principia. Classical mechanics was the �rst branch of Physics to be discovered, and is the foundation upon which all other branches of Physics are built. Moreover, classical mechanics has...
Topic: Maths
Source: http://www.flooved.com/reader/2725
Flooved
by Richard Fitzpatrick
150
0
0
This book presents a single semester course on Newtonian dynamics that is intended primarily for upper-division (i.e., junior and senior) undergraduate students majoring in physics. A thorough understanding of physics at the lower-division level, including a basic working knowledge of the laws of mechanics, is assumed. It is also taken for granted that students are familiar with the fundamentals of integral and differential calculus, complex analysis, ordinary differential equations, and linear...
Topics: Physics, Classical Mechanics, Classical Mechanics of Discrete Systems, Physics
Source: http://www.flooved.com/reader/3278
Flooved
by Prof. Steven E. Pav
147
0
0
What started as daily course notes in a numerical methods course blossomed into a manuscript now standing in for the course textbook. only the classical topics are covered
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3497
Flooved
by Richard Fitzpatrick
146
0
0
The purpose of this course is to present quantum mechanics in a systematic fashion, starting from the fundamental postulates, and developing the theory in as logical a manner as possible.
Topics: Physics, Quantum Physics, Quantum Mechanics, Foundations of Quantum Mechanics, Measurement Theory,...
Source: http://www.flooved.com/reader/3079
Flooved
by David Carlisle;Adrian Clark;Michel Goossens;Sebastian Rahtz;Jon Warbrick
139
0
0
This document is an attempt to give you all the essential information that you will need in order to use the LATEX document preparation system[1].1. Only basic features are covered, and avast amount of detail has been omitted. In a document of this size it is not possible to include everything that you might need to know, and if you intend to make extensive use of the program you should refer to a more complete reference.
Topics: Maths, Study Guides, Study Skills and Assignment Guidelines, Learning Latex, Mathematics
Source: http://www.flooved.com/reader/1663
Flooved
by Richard Fitzpatrick
139
0
0
What is Plasma? The electromagnetic force is generally observed to create structure: e.g., stable atoms and molecules, crystalline solids. In fact, the most widely studied consequences of the electromagnetic force form the subject matter of Chemistry and Solid-State Physics, which are both disciplines developed to understand essentially static structures. Structured systems have binding energies larger than the ambient thermal energy. Placed in a suf�ciently hot environment, they decompose:...
Topics: Physics, Physics of Gases, Plasmas, and Electric Discharges, Physics of Plasmas and Electric...
Source: http://www.flooved.com/reader/3041
Flooved
138
0
0
This text discusses the theory of finite-dimensional vector spaces in sufficient detail to enable the reader to understand and solve most linear algebra problems in mathematics and physics likely to be encountered outside of specialized research.
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3535
Flooved
by Prof. Kenneth P. Bogart
127
0
0
This book is an introduction to combinatorial mathematics, also known as combinatorics. The book focuses especially but not exclusively on the part of combinatorics that mathematicians refer to as �counting.� The book consists almost entirely of problems.
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3487
Flooved
by David W. Hogg
126
0
0
These notes have three (perhaps ambitious) aims: (a) to introduce undergraduates to special relativity from its founding principle to its varied consequences, (b) to serve as a reference for those of us who need to use special relativity regularly but have no long-term memory, and (c) to provide an illustration of the methods of theoretical physics for which the elegance and simplicity of special relativity are ideally suited. History is a part of all science�I will mention some of the...
Topic: Maths
Source: http://www.flooved.com/reader/3125
Chapter I presents all the elementary Hilbert space theory that is needed for the book. Chapter II is an introduction to distributions and Sobolev spaces. Chapter III is an exposition of the theory of linear elliptic boundary value problems in variational form. (The meaning of \variational form" is explained in Chapter VII.). Chapter IV is an exposition of the generation theory of linear semigroups of contractions and its applications to solve initial-boundary value problems for partial...
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3536
Flooved
by James S. Milne
125
0
0
Class �eld theory describes the abelian extensions of a local or global �eld in terms of the arithmetic of the �eld itself. These notes contain an exposition of abelian class �eld theory using the algebraic/cohomological approach of Chevalley and Artin and Tate. The explicit approach of Lubin and Tate in the local case and the analytic approach in the global case are also explained. The original version of the notes was distributed during the teaching of an advanced graduate course.
Topic: Maths
Source: http://www.flooved.com/reader/3409
Flooved
by Peter Ouwehand
120
1
0
These notes began as notes for a course called �Computability and Mathematical Linguistics� taught at McGill University for about 25 years, beginning in 1974. It was quite successful, but after Professor Lambek and I retired, there was no one who was su_ciently interested in teaching the course as designed and it eventually disappeared. There was a proposal to add quite a bit of logic to the notes and publish it jointly with Phil Scottand me, but this project never much went beyond putting...
Topic: Maths
Source: http://www.flooved.com/reader/3382
Flooved
by Peter Ouwehand
118
0
0
Topics: Maths, Analysis and Calculus, Analysis, Integration, Mathematics
Source: http://www.flooved.com/reader/3354
Flooved
114
0
0
Roughly speaking, a differential equation is an equation involving the derivatives of one or more unknown functions. In calculus (differential, integral and vector), you�ve studied ways of analyzing functions. You might even have been convinced that functions you meet in applications arise naturally from physical principles. As we shall see, differential equations arise naturally from general physical principles. In many cases, the functions you met in calculus in applications to physics were...
Topic: Maths
Source: http://www.flooved.com/reader/3440
Flooved
113
0
0
These notes are intended as a rough guide to the eight-lecture course Introduction to Pure Mathematics which is a part of the Oxford 1st-year undergraduate course for the Preliminary Examination in Mathematics. Please do not expect a polished account. They are my personal lecture notes, not a carefully checked textbook. Nevertheless, I hope they may be of some help.
Topic: Maths
Source: http://www.flooved.com/reader/1056
Flooved
by Matthias Beck;Gerald Marchesi;Dennis Pixton;Lucas Sabalka
112
0
0
These are the lecture notes of a one-semester undergraduate course which we taught at SUNY Binghamton. For many of our students, Complex Analysis is their first rigorous analysis (if not mathematics) class they take, and these notes reflect this very much. We tried to rely on as few concepts from real analysis as possible. In particular, series and sequences are treated ``from scratch." This also has the (maybe disadvantageous) consequence that power series are introduced very late in the...
Topics: Complex Analysis, Residue Theorem, Second Order Ordinary Differential Equations in the Complex...
Source: http://www.flooved.com/reader/3491
Flooved
111
0
0
f(x). However, many of the functions of importance both within mathematics itself as
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3477
Flooved
by Peter Ouwehand
109
0
0
These notes are for a short course in set theory at the undergraduate level at Stellenbosch University. No pretense at orignality is claimed. Though ampli�ed by material from a number of additional sources, the debt to the �rst few chapters of the book Set Theory, by Thomas Jech, Springer 2003, should be easily discernible.
Topics: Maths, Logic, Numbers and Set Theory, Set Theory, Mathematics
Source: http://www.flooved.com/reader/3368
Flooved
by Michael Fowler
104
0
0
The course falls rather naturally into three parts, which will take approximately equal times. Part I covers the needed developments in mathematics and science from the earliest times until Galileo: the Babylonians and Egyptians, the Greeks, the Arabs, and early Western Europe. Part II will be devoted to the works of Galileo and Newton, culminating in Newton�s Laws of Motion and his Law of Universal Gravitation: the revolution revealing that the heavens obeyed the same laws as earthly...
Topic: Maths
Source: http://www.flooved.com/reader/3256
Flooved
by Prof. Stefan Bilaniuk
104
0
0
A Problem Course in Mathematical Logic is intended to serve as the text for an introduction to mathematical logic for undergraduates with some mathematical sophistication. It supplies definitions, statements of results, and problems, along with some explanations, examples, and hints. The idea is for the students, individually or in groups, to learn the material by solving the problems and proving the results for themselves. The book should do as the text for a course taught using the modified...
Topics: Logic, Numbers and Set Theory, Introduction to Number Systems and Logic, Propositional Logic, Set...
Source: http://www.flooved.com/reader/3492
So far we have restricted ourselves to considering systems consisting of discrete objects or point-like objects that have fixed amounts of mass. We shall now consider systems in which material flows between the objects in the system, for example we shall consider coal falling from a hopper into a moving railroad car, sand leaking from railroad car fuel, grain moving forward into a railroad car, and fuel ejected from the back of a rocket, In each of these examples material is continuously flows...
Topics: Physics, Classical Mechanics, Physics
Source: http://www.flooved.com/reader/3294
Flooved
by Prof. Carl Stitz;Prof. Jeff Zeager
100
0
0
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3503
These set of lecture notes are designed for an upper-division undergraduate course on computational physics. The purpose of this course is demonstrate to students how computers can enable us to both broaden and deepen our understanding of physics by vastly increasing the range of mathematical calculations which we can conveniently perform.
Topics: Physics, Physics
Source: http://www.flooved.com/reader/3259
This third year core module covers the quantum theory of atoms and atomic spectra, and also the basic principles of lasers. Course description: PHY332 covers the quantum theory of simple atoms and atomic spectra, and also the basic principles of lasers. The first part of the course covers the physics of atoms and atomic spectra, beginning with hydrogen and then moving on to multi-electron atoms. The second part gives an introduction to laser physics, with emphasis on the basic principles of...
Topics: Physics/Nuclear, Atomic and Molecular Physics/Atomic and Molecular Physics|Physics/Acoustics,...
Source: http://www.flooved.com/reader/3454
Flooved
by Keijo Ruohonen
99
0
0
The notes form the base text for the course �MAT-41196 Graph Theory�. They containan introduction to basic concepts and results in graph theory, with a special emphasis put onthe network-theoretic circuit-cut dualism. In many ways a model was the elegant and carefulpresentation of SWAMY & THULASIRAMAN, especially the older (and better) edition. There areof course many modern text-books with similar contents, e.g. the popular GROSS & YELLEN.
Topics: Graph Theory, Basics, Connectivity and Matchings, Graph Colouring, Planar Graphs, Matchings in...
Source: http://www.flooved.com/reader/3467
Flooved
by James S. Milne
99
0
0
These notes give a concise exposition of the theory of �elds, including the Galois theory of �nite and in�nite extensions and the theory of transcendental extensions. The �rst six sections form a standard course. Chapters 7 and 8 are more advanced, and are required for algebraic number theory and algebraic geometry repspectively.
Topic: Maths
Source: http://www.flooved.com/reader/3415
This book is a one semester course in basic analysis
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3479
Flooved
by Prof. Peter J. Cameron
96
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The original course was largely based on continued fractions: this technique is very amenable to hand calculation, and can be used to solve Pell�s equation, to write an integer as a sum of squares where this is possible, and to classify the inde�nite binary quadratic forms. This is still the centrepiece of the course, but I have given alternate treatment of sums of squares.
Topic: Mathematics
Source: http://www.flooved.com/reader/3516
Flooved
by Pieter Kok
96
0
0
Lecture Topics: 1. Geometrical vectors and vector �elds 2. Calculating with the div, grad and curl 3. Index notation, unit vectors and coordinate systems 4. Maxwell�s equations and the Lorentz Force 5. Gauge transformations and a particle in an electromagnetic �eld 6. The Laplace equation and the method of images 7. Separation of variables and Legendre polynomials 8. Electric and magnetic multipole moments 9. The wave equation, polarisation, phase velocity and group velocity.
Topics: Physics, Electromagnetism and Electromagnetic Radiation, Classical Electromagnetism�,...
Source: http://www.flooved.com/reader/3398
Flooved
95
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0
Topics: Physics, Physics
Source: http://www.flooved.com/reader/2724
Flooved
by James S. Milne
95
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An algebraic number �eld is a �nite extension of Q; an algebraic number is an element of an algebraic number �eld. Algebraic number theory studies the arithmetic of algebraic number �elds � the ring of integers in the number �eld, the ideals and units in the ring of integers, the extent to which unique factorization holds, and so on. An abelian extension of a �eld is a Galois extension of the �eld with abelian Galois group. Class �eld theory describes the abelian extensions of...
Topic: Maths
Source: http://www.flooved.com/reader/3402
Flooved
92
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0
Topic: Maths
Source: http://www.flooved.com/reader/3350
This is a comprehensive book on all of the fundamental theory behind electromagnetism.
Topics: Physics, Electromagnetism and Electromagnetic Radiation, Classical Electromagnetism�,...
Source: http://www.flooved.com/reader/2715
Topics: Maths, Dynamics and Relativity, Dynamical Systems, Mathematics
Source: http://www.flooved.com/reader/1836
This summary begins with two lists that use most of the key words of linear algebra. The �rst list applies to invertible matrices. That property is described in 14 di_erent ways. The second list shows the contrast, when A is singular (not invertible).
Topics: Maths, Linear Algebra and Geometry, Linear Algebra, Mathematics
Source: http://www.flooved.com/reader/1325
Flooved
by John Belcher;Peter Dourmashkin;Michael Feld;Eric Hudson;John Joannopoulos;Bruce Knuteson;George Stephans
86
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0
AC Sources - In Chapter 10 we learned that changing magnetic flux can induce an emf according to Faraday�s law of induction. In particular, if a coil rotates in the presence of a magnetic field, the induced emf varies sinusoidally with time and leads to an alternating current (AC), and provides a source of AC power. The symbol for an AC voltage source is...
Topics: Physics, Electromagnetism and Electromagnetic Radiation, Classical Electromagnetism�,...
Source: http://www.flooved.com/reader/2824
Flooved
by Prof. Carl Stitz;Prof. Jeff Zeager
86
0
0
Section 0.1 (Basic Set Theory and Interval Notation) contains a brief summary of the set theory terminology used throughout the text including sets of real numbers and interval notation. Section 0.2 (Real Number Arithmetic) lists the properties of real number arithmetic.1 Section 0.3 (Linear Equations and Inequalities) focuses on solving linear equations and linear inequalities from a strictly algebraic perspective. The geometry of graphing lines in the plane is deferred until Section 2.1...
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3498
Chapter 11 presents the basic formalism of tensors as they are most commonly used by applied mathematicians, physicists and engineers. Finally, Chapter 12 serves as an introduction to the theory of infinite-dimensional vector spaces
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3538
Content: Klein Gordon propagator in position space; Real �eld Klein Gordon forward propagator; The KG propagator expanded in the mass term; The square root Hamiltonian
Topics: Physics, Particle Physics and Fields, Specific Theories and Interaction Models, Fundamental...
Source: http://www.flooved.com/reader/2670
Flooved
by James Nearing
84
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0
There�s more to the subject of vector calculus...There are a couple of types of line integrals and there are some basic theorems that relate the integrals to the derivatives, sort of like the fundamental theorem of calculus that relates the integral to the anti-derivative in one dimension.
Topics: Physics, Electromagnetism and Electromagnetic Radiation, Mathematical Methods in Physics, Classical...
Source: http://www.flooved.com/reader/3241
Flooved
by John Lewis;Arthur Mattuck;Haynes Miller;Jeremy Orloff
83
0
0
A differential equation is an equation expressing a relation between a function and its derivatives. When the function in the differential equation has a single independent variable we call it an ordinary differential equation. That is, the derivatives are ordinary derivatives, not partial derivatives. This course is almost exclusively concerned with ordinary differential equations.
Topics: Maths, Differential Equations (ODEs & PDEs), Mathematics
Source: http://www.flooved.com/reader/1255
Flooved
83
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Abstract: This module provides examples of Hypothesis Testing of a Single Mean and a Single Proportion as a part of the Collaborative Statistics collection (col10522) by Barbara Illowsky and Susan Dean.
Topics: Maths, Statistics and Probability, Statistics, Hypothesis Testing, Mathematics
Source: http://www.flooved.com/reader/1565